The reation between the time t and position x for a particle moving on x-axis is given by `t=px^(2)+qx`, where p and q are constants. The relation bet

Question

The reation between the time t and position x for a particle moving on x-axis is given by `t=px^(2)+qx`, where p and q are constants. The relation bet

The reation between the time t and position x for a particle moving on x-axis is given by `t=px^(2)+qx`, where p and q are constants. The relation between velocity v and acceleration a is as
A. `a prop v^(3)`
B. `a prop v^(2)`
C. `a prop v^(4)`
D. `a prop v`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`(dt)/(dx) = 2px + q`
`rarr v = (dx)/(dt) = (1)/(2px + q)`
`a = (-2p)/((2px + q)^(3)) rarr a prop ((1)/(2px + q))^(3)`
`rArr a prop v^(3)`

4 views Answered 2023-02-05 15:29